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React Mandelbrot Patterns

Decorated Mandelbrot fractal with complex pattern overlays and advanced shading. Pure WebGL complex plane mathematics for React with TypeScript and shadcn/ui—fractal art meets performance.

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Creating beautiful Mandelbrot fractals with decorative patterns requires complex mathematical operations and sophisticated shading techniques. This React component uses iterative complex plane transformations with advanced pattern overlays, gradient-based highlighting, and anti-aliased rendering to create stunning fractal art that runs smoothly at 60fps.

Decorated fractal patterns

Beautiful Mandelbrot fractal with decorative circular grid patterns and advanced shading:

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Created by Shane in 2020-06-12

Built for React applications with TypeScript and Next.js in mind. The animation runs entirely on the GPU using WebGL with complex plane mathematics, iterative transformations, and sophisticated pattern rendering. Works seamlessly with shadcn/ui design systems.

Installation

npx shadcn@latest add https://www.shadcn.io/registry/mandelbrot-pattern-decoration-shaders.json
npx shadcn@latest add https://www.shadcn.io/registry/mandelbrot-pattern-decoration-shaders.json
pnpm dlx shadcn@latest add https://www.shadcn.io/registry/mandelbrot-pattern-decoration-shaders.json
bunx shadcn@latest add https://www.shadcn.io/registry/mandelbrot-pattern-decoration-shaders.json

Usage

import { MandelbrotPatternDecorationShaders } from "@/components/ui/mandelbrot-pattern-decoration-shaders";

export default function Hero() {
  return (
    <MandelbrotPatternDecorationShaders>
      <div className="relative z-10">
        <h1>Your content here</h1>
      </div>
    </MandelbrotPatternDecorationShaders>
  );
}

Why most fractal implementations fail

Most developers try to create Mandelbrot fractals with simple iteration loops or pre-computed textures. Poor approach. You miss the mathematical beauty of complex plane transformations and can't achieve the sophisticated pattern overlays that make fractals truly captivating. Basic implementations often suffer from aliasing, limited iteration depth, or lack proper derivative calculations for smooth coloring.

This React component uses authentic complex plane mathematics with iterative z = z² + c transformations and simultaneous derivative calculations. The GPU handles everything using optimized complex number operations with decorative pattern overlays, gradient-based shading, and anti-aliased rendering. No pre-computed textures, no aliasing artifacts, just pure mathematical fractal art at 60fps.

Features

  • Zero mathematical shortcuts - Pure complex plane transformations with proper derivative calculations
  • Iterative complex operations using authentic Mandelbrot z = z² + c mathematics
  • Decorative pattern overlays with circular grids and boundary line rendering
  • Advanced shading techniques including gradient-based highlighting and reflective glossy effects
  • TypeScript definitions for proper IDE support in React projects
  • Customizable parameters with 6 props for complete fractal control
  • Performance optimization through efficient GPU-based complex number operations
  • shadcn/ui compatible for consistent design systems
  • Responsive design with automatic canvas resizing and anti-aliasing

API Reference

MandelbrotPatternDecorationShaders

Main container component for the decorated Mandelbrot fractal effect.

PropTypeDefaultDescription
speednumber1.0Animation speed multiplier (0.1 to 3.0)
zoomnumber1.0Fractal zoom level (0.1 to 5.0)
iterationsnumber128.0Maximum iteration count (32 to 256)
patternScalenumber1.0Decorative pattern scale (0.5 to 3.0)
colorIntensitynumber1.0Color saturation strength (0.0 to 2.0)
glossStrengthnumber1.0Reflective highlight intensity (0.0 to 3.0)
classNamestring-Additional Tailwind CSS classes
...propsHTMLAttributes<HTMLDivElement>-All standard div props

Common gotchas

Fractal not rendering: Complex plane mathematics require proper WebGL support. The component may fail on very old devices without adequate floating-point precision.

Performance issues on mobile: High iteration counts and complex pattern calculations are GPU-intensive. Reduce iterations to 64 and patternScale to 0.8 for better mobile performance.

Patterns too small/large: Adjust patternScale to control the size of the decorative circular grid overlays. Smaller values create finer detail, larger values create bolder patterns.

Colors too vibrant/muted: Control colorIntensity to adjust color saturation. Lower values create more subtle, monochromatic fractals while higher values enhance the color gradients.

Missing highlights: Increase glossStrength to enhance the reflective glossy effects that add depth and dimensionality to the fractal layers.

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